Stability of Periodic Orbits in the Averaging Theory: Applications to Lorenz and Thomas Differential Systems

被引：2
|
作者：
Candido, Murilo R. [1 ]
Llibre, Jaume [1 ]
机构：
[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2018年 / 28卷 / 03期
关键词：
Averaging theory; circulant system; stability of periodic orbit; Lorenz system; Thomas system; LABYRINTH CHAOS;
D O I：
10.1142/S0218127418300070
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We provide new results in studying a kind of stability of periodic orbits provided by the higher-order averaging theory. Then, we apply these results to determining the k-hyperbolicity of some periodic orbits of the Lorenz and Thomas differential systems.
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页数：14
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